"He's a good kid who works hard and I think he's enjoying his time at the club," Pulis told the official Stoke website.
"The people at the club can't get over how laid back he is and everyday is Christmas day to Kenwyne.
"I'll have to speak to Harry this week about keeping him and see if he wants him to stay out on loan and also speak to Kenwyne and see what he wants to do."
Jones has completed five games during his first four weeks at Stoke and scored one goal.